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Finding the Fourth Proportional to 23,779.20, 32,805 and 14,342.52

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Solution

The fourth proportional to 23,779.20, 32,805 and 14,342.52 is: 19,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.20 : 32,805 = 14,342.52 : x
  2. Step 2: Convert to fraction form
    23,779.20/32,805 = 14,342.52/x
  3. Step 3: Cross multiply
    23,779.20x = 32,805 × 14,342.52
  4. Step 4: Simplify right side
    23,779.20x = 470,506,368.60
  5. Step 5: Solve for x
    x = 470,506,368.60/23,779.20
  6. Step 6: Final answer
    x = 19,786.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.